# Waecmaths

Title waecmaths question
Question 1

Simplify: $10\tfrac{2}{5}-6\tfrac{2}{3}+3$

Question 2

If 23x =325. Find the value of x

Question 3

The volume of a cube is 512cm3.Find the length of its side

Question 4 The bar chart shows the scores of some students in a test. How many students took the test

Question 5 The bar chart shows the score of some students in a test.If one student is selected at random, find the probability that he/she scored at most 2 marks

Question 6

Simplify: $\sqrt{12}(\sqrt{48}-\sqrt{3})$

Question 7

Which of the following number lines represents the solution to the inequality: $-9\le \tfrac{2}{3}x-7<5$

Question 8 In the diagram x + y = 220o . Find the value of n

Question 9

Given that x > y and 3 < y, which of the following is/are true?

I y > 3

II. x < 3

III. x > y > 3

Question 10

Three quarters of a number added to two and a half number gives 13. Find the missing number

Question 11

If $X=\{0,2,4,6\}$, $Y=\{1,2,3,4\}$ and$Z=\{1,3\}$ are subset of $U=\{x:0\le x\le 6\}$, find $X\cap (Y\cup Z)$

Question 12

Find the truth set of the equation ${{x}^{2}}=3(2x+9)$

Question 13

The coordinates of point P and Q are (4,3) and (2, –1) respectively. Find the shorest distance between P and Q

Question 14

Make u the subject of the formula, $E=\frac{m}{2g}({{v}^{2}}-{{u}^{2}})$

Questio 15 In the diagram, $\angle QPT=\angle PTS={{90}^{\circ }}$, $\angle PQR={{110}^{\circ }}$and . Find the size of the obtuse angle QRS

Question 16

If x varies inversely as y varies directly as z , what is the relationship between x and z

Question 17

Find the gradient of the line joining the points (2 ,– 3) and (2,5)

Question 18

if (xa) is a factor of $bx-ax+{{x}^{2}}-ab$, find the other factor

Question 19

 Height 2 3 4 5 6 Frequency 2 4 5 3 1

The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants

Question 20 In the diagram, PQR is straight line (m + n) = 120o and (n + r) = 100o. Find (m +r)

Question 21 In the diagram, $\overline{SR}$is parallel to $\overline{UW}$,$\angle WVT={{x}^{\circ }},\angle VUT={{y}^{\circ }},\angle RSV={{45}^{\circ }}$and $\angle VTU={{20}^{\circ }}$Find the value of x

Question 22 In the diagram, $\overline{SR}$is parallel to $\overline{UW}$,$\angle WVT={{x}^{\circ }},\angle VUT={{y}^{\circ }},\angle RSV={{45}^{\circ }}$and $\angle VTU={{20}^{\circ }}$Calculate the value of y

Question

The area of a sector of a circle with diameter 12cm is 66cm2. If the sector is folder to form a cone, calculate the radius of the base of the cone. [Take $\pi =\tfrac{22}{7}$]

Question 24

A chord 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle

Question 25

Which of the following is a measure of dispersion?

Question 26

A box contains 13 current notes, all of which are either N50 or N20 notes. The total value of the currency notes is N530. How many N50 notes are in the box?

Question 29

A ship sails x km due east to a point E and continues x km due north to F . Find the bearing of F from the starting point.

Question 30

if x : y = 3 : 2 and yz = 5 : 4, find the value of x in the ratio x: y: z

Question 31

A trader brought sachet water for GH¢50-.00 per dozen and sold them at GH¢55.00. Calculate, correct to 2 decimal places, his percentage gain.

Question 32 In the figure, PQ is a tangent to the circle at R and UT is parallel to PQ if $\angle TRQ={{x}^{\circ }}$. Find $\angle URT$in terms of x

Question 33

Given that  $\cos x=\tfrac{12}{13}$evaluate $\frac{1-\tan x}{\tan x}$

Question 34

Approximate 0.0033780 to 3 significant figures

Question 35

Simplify $\sqrt{\frac{{{8}^{2}}\times {{4}^{n+1}}}{{{2}^{2n}}\times 16}}$

Question 36

If $\frac{2}{x-3}-\frac{3}{x-2}$is equal to $\frac{P}{(x-3)(x-2)}$ find P

Question 37

Subtract  $\tfrac{1}{2}(a-b-c)$ from the sum of $\tfrac{1}{2}(a-b+c)$and $\tfrac{1}{2}(a+b-c)$

Question 38 A man’s eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes

Question 39

A chord subtends an angle of 120o at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord[Take $\pi =\tfrac{22}{7}$]

Question 41

Determine the value of m in the diagram Question 43

If a number is selected at random from each of the sets P = {1, 2, 3} and Q ={2, 3, 5}. Find the probability that the sum of the number is prime

Question 44 In the diagram,  O is the centre of the circle $\overline{PR}$is a tangent to the circle at Q and $\angle SOQ={{86}^{\circ }}$ Calculate the value of $\angle SQR$